×

A posteriori error estimates for boundary-value problems related to the biharmonic operator. (English) Zbl 0986.65101

This paper is concerned with boundary-value problems related to the biharmonic operator. The authors derive functional a posteriori error estimates by using the duality theory of the calculus of variations. The consistency of the derived a posteriori error estimates is proved and the corresponding computational strategies are discussed.

MSC:

65N15 Error bounds for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J40 Boundary value problems for higher-order elliptic equations
PDFBibTeX XMLCite